Ki Society and Aikikai practice can look pretty different: especially stance, footwork, and use of up-down versus spiral movements. This is more true for recent material.

Taigi are stylized--the cooperation you see in the film clips is encouraged there where it wouldn't necessarily be in regular practice. In addition, some throws have a "taigi version" which illustrates important principles but is not terribly practical. The kaitenage in Taigi #1 is an example. It's very hard to do this throw in a way that doesn't allow uke to get into mischief while he's behind you, but it's a great teaching throw for the principle of leading smoothly.

If you wanted to see a more recent and longer version of the taigi, Ki Society sells a nice tape. I drool over the ukemi on that tape, and also the dojo that allows them to throw people twenty feet without encountering a wall....